Red, White, and Blue Cheesecake Bars

Name: Red, White, and Blue Cheesecake Bars
Cook time: 6 h 10 min
Total time: 6 h 10 min
Cuisine: American
Ingredients: 2 (6.75-oz.) pkg. crisp, sweet cookies (such as Pepperidge Farm Bordeaux cookies); 1/4 cup salted butter, melted; 1 cup fresh or frozen raspberries (about 5 oz.); 3/4 cup plus 2 Tbsp. granulated sugar, divided; 2 tablespoons water, divided; 1 cup fresh or frozen blueberries (about 5 1/2 oz.); 3 (8-oz.) pkg. cream cheese, softened; 1/4 teaspoon salt; 2 large egg whites; 1 large egg; 1/4 cup sour cream; 2 tablespoons all-purpose flour; 2 teaspoons fresh lemon juice (from 1 lemon); 2 teaspoons vanilla extract